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Finding the Third Proportional to 11,357 and 24,874

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Solution

The third proportional to 11,357 and 24,874 is: 54,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357 : 24,874 = 24,874 : x
  2. Step 2: Convert to fraction form
    11,357/24,874 = 24,874/x
  3. Step 3: Cross multiply
    11,357x = 24,874 × 24,874
  4. Step 4: Simplify right side
    11,357x = 618,715,876
  5. Step 5: Solve for x
    x = 618,715,876/11,357
  6. Step 6: Final answer
    x = 54,478.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.